Question

2x+3y=11 and 2x-4y = -24 and hence find th value of "m"for which y=m+3
A) -1
B) 1
C) 2
D) -2

Answer 1

        $\text{\huge \bf \underline{Answer:}}$

        $\text{The two given equations are:}$

        $2x + 3y = 11 \text{ ------ (i)}$

        $2x - 4y = -24 \text{ ------ (ii)}$

        $\text{Substracting (ii) from (i)}$

$\implies 2x + 3y - (2x - 4y) = 11 - (-24)$

$\implies 2x + 3y - 2x + 4y = 11 + 24$

$\implies 7y = 35$

$\implies y = \dfrac{35}{7}$

$\implies y = 5$

        $\text{It is given that }y = m+ 3$

$\implies 5 = m + 3$

$\implies 5 - 3 = m$

$\implies \boxed{\boxed{2 = m}}$